AsynchronousMachineEquivalentCircuit
Class Description
The electrical equations of all variations of the asynchronous model are based on the AsynchronousEquivalentCircuit diagram for the direct- and quadrature- axes, with two equivalent rotor windings in each axis.
Equations for conversion between equivalent circuit and time constant reactance forms:
<i>Xs</i> = <i>Xm</i> + <i>Xl</i>
<i>X'</i> = <i>Xl</i> + <i>Xm</i> x <i>Xlr1 </i>/ (<i>Xm </i>+ <i>Xlr1</i>)
<i>X''</i> = <i>Xl</i> + <i>Xm</i> x <i>Xlr1</i> x <i>Xlr2</i> / (<i>Xm</i> x <i>Xlr1</i> + <i>Xm</i> x <i>Xlr2</i> + <i>Xlr1</i> x <i>Xlr2</i>)
<i>T'o</i> = (<i>Xm</i> + <i>Xlr1</i>) / (<i>omega</i><i><sub>0</sub></i> x <i>Rr1</i>)
<i>T''o</i> = (<i>Xm</i> x <i>Xlr1</i> + <i>Xm</i> x <i>Xlr2</i> + <i>Xlr1</i> x <i>Xlr2</i>) / (<i>omega</i><i><sub>0</sub></i> x <i>Rr2</i> x (<i>Xm</i> + <i>Xlr1</i>)
Same equations using CIM attributes from AsynchronousMachineTimeConstantReactance class on left of "=" and AsynchronousMachineEquivalentCircuit class on right (except as noted):
xs = xm + RotatingMachineDynamics.statorLeakageReactance
xp = RotatingMachineDynamics.statorLeakageReactance + xm x xlr1 / (xm + xlr1)
xpp = RotatingMachineDynamics.statorLeakageReactance + xm x xlr1 x xlr2 / (xm x xlr1 + xm x xlr2 + xlr1 x xlr2)
tpo = (xm + xlr1) / (2 x pi x nominal frequency x rr1)
tppo = (xm x xlr1 + xm x xlr2 + xlr1 x xlr2) / (2 x pi x nominal frequency x rr2 x (xm + xlr1).
Attributes
| Name | Type | Description |
|---|---|---|
| rr1 | PU | Damper 1 winding resistance. |
| rr2 | PU | Damper 2 winding resistance. |
| xlr1 | PU | Damper 1 winding leakage reactance. |
| xlr2 | PU | Damper 2 winding leakage reactance. |
| xm | PU | Magnetizing reactance. |
Relationships
Ancestors
Descendents
No descendent classes
Associations
None